Magic Graphs [electronic resource] / by Alison M. Marr, W.D. Wallis.

Preface -- List of Figures -- Preliminaries -- Edge-Magic Total Labelings -- Vertex-Magic Total Labelings -- Totally Magic Labelings -- Magic Type Labeling of Digraphs -- Notes on the Research Problems -- References -- Bibliography -- Answers to Selected Exercises -- Index.

Magic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of ǣmagicǥ ideas have been applied to graphs. Recently there has been a resurgence of interest in ǣmagic labelingsǥ due to a number of results that have applications to the problem of decomposing graphs into trees. Key features of this second edition include: ø a new chapter on magic labeling of directed graphs ø applications of theorems from graph theory and interesting counting arguments ø new research problems and exercises covering a range of difficulties ø a fully updated bibliography and index This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labelings. It may serve as a graduate or advanced undergraduate text for courses in mathematics or computer science, and as reference for the researcher.

ZDB-2-SMA